# Free Perimeter and Area 01 Practice Test - 4th Grade

Find the area of the given figure if the area of each small square is 1 cm2. A.

5 cm2

B.

10 cm2

C.

15 cm2

D.

20 cm2

#### SOLUTION

Solution : B

There are 10 small squares in the given figure.
Area of the small square = 1 cm2
Area of the given figure
= 10 × Area of one square
= 10 × 1 cm2
= 10 cm2

The perimeter of the figure given below is 15 cm. Find the length of the third side. A.

6 cm

B.

11 cm

C.

5 cm

D.

4 cm

#### SOLUTION

Solution : D

Given : Perimeter of the given figure = 15 cm
Let the length of the third side be x.
Perimeter of a figure = Sum of lengths of its sides = AB + BC + AC
15 cm = 6 cm + 5 cm + x
15 cm = 11 cm + x
x = 15 cm - 11 cm
x = 4 cm
Therefore, the third side is 4 cm long.

A rectangle is formed by keeping two squares next to each other. The length of the sides of each square is 10 cm.

What is the area of the rectangle formed by these two squares?

A. 100 cm2
B. 200 cm2
C. 300 cm2
D. 400 cm2

#### SOLUTION

Solution : B

Given: The length of the sides of each square is 10 cm.
For the rectangle formed:
Length = 10 cm + 10 cm = 20 cm
Breadth = 10 cm
Area of the rectangle = Length × Breadth = 20cm×10 cm=200 cm2

Calculate the area of the given shape. A.

10 m2

B.

40 m2

C.

50 m2

D.

90 m2

#### SOLUTION

Solution : D

Area of the given shape = area of the two rectangles
= (10 m×5 m)+(5 m×8 m)
= 50 m2+40 m2
90 m2

In the given figure, if the length of the rectangle is 4 cm and the breadth is 14 cm, then the area of the figure is: A.

12 cm2

B.

1 cm2

C.

2 cm2

D.

4 cm2

#### SOLUTION

Solution : B

In the given figure, we have length = 4 cm and breadth = 14 cm
Area of the figure = length ×  breadth
Area of the given rectangle = 4 cm × 14 cm = 1 cm2

If a square is cut along its diagonal into two triangles, what will be the sum of areas of those two triangles?

A.

Be more than the square

B.

Same as that of the square

C.

Be less than the square

D.

area of one triangle

#### SOLUTION

Solution : B Sum of areas of the triangles will be same as that of the area of the square, it will be like calculating the area of two triangles which forms the square.

What is the area of a square with side 13 cm?

A.

26 cm2

B.

52 cm2

C.

169 cm2

D.

130 cm2

#### SOLUTION

Solution : C

Area of the square = Side × Side

Given: Side = 13 cm

Area = 13 × 13 = 169 cm2

What is the length of the side of a square of area 64 cm2?

A.

16 cm

B.

8 cm

C.

4 cm

D.

32 cm

#### SOLUTION

Solution : B

Area of a square = Side × Side
Side × Side = 64 cm2

When we look at the factors of 16,
64 = 64 x 1
64 = 32 x 2
64 = 16 x 4
64 = 8 x 8
Since the sides have to be equal, it has to be 8 cm long as 8 × 8 = 64
Side will be 8 cm long.

Choose the correct option: 0.9m2= ?

A.

90 cm2

B.

9000 cm2

C.

9000 m2

D.

9 m2

#### SOLUTION

Solution : B

1 m = 100 cm.
Hence 1 sq. m =100×100 cm2
0.9m2=0.9×100×100=9000 cm2     ( shifting the decimal by 1 place)

Which of the following is not a unit of area?

A.

cm2

B.

m2

C.

inch2

D.

dm

#### SOLUTION

Solution : D

Decimeter is not a unit of area. Units of area are given as squared units